Mazes are a kind of game, and any game invented by humans is essentially about probability and game theory. By exhaustively listing possibilities and arranging them according to their probabilities, one can derive an optimal strategy for each move... Theoretically, powerful computers could crack any game through brute force.
Probability Theory was originally conceived by the mathematician Euler from gambling. By the twentieth century, there had been more than one occasion where mathematicians specializing in Probability Theory had won so much in casinos that Las Vegas had to ban them from games like Blackjack and Texas Hold'em.
In the face of pure mathematics, so-called realms, intuition, and even Go strategies are nothing but packed approximate algorithms.
And a good algorithm can help a person directly avoid unfavorable options.
